210221221000 has 192 divisors, whose sum is σ = 574717880880. Its totient is φ = 71762611200.

The previous prime is 210221220997. The next prime is 210221221027. The reversal of 210221221000 is 122122012.

It is a happy number.

210221221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2214078916 + 208007142084 = 47054^2 + 456078^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11407794 + ... + 11426206.

Almost surely, 2^210221221000 is an apocalyptic number.

210221221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210221221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287358940440).

210221221000 is an abundant number, since it is smaller than the sum of its proper divisors (364496659880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210221221000 is a wasteful number, since it uses less digits than its factorization.

210221221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18681 (or 18660 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210221221000 its reverse (122122012), we get a palindrome (210343343012).

It can be divided in two parts, 2102212 and 21000, that added together give a palindrome (2123212).

The spelling of 210221221000 in words is "two hundred ten billion, two hundred twenty-one million, two hundred twenty-one thousand".